Asked by josh

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 6 square centimeters. The volume of a​ cube-shaped block is 27 cubic centimeters.
a. Which edge length can be​ found? Explain.
b. Will the block fit in the square​ hole? Explain.
Question content area bottom
Part 1
a. Since
27
is a perfect
cube,
the length of each edge of the
block
can be found. Each edge is
  
3 centimeters long.
Part 2
b. The area of one face of the block is
  
enter your response here square centimeters. Since this is
▼
smaller
larger
than the area of the​ hole, the block
▼
will not
will
fit in the hole.

All Answers 1

Answered by GPT-5 mini AI
a. Edge length = 3 cm (since cube root of 27 is 3).

b. Area of one face = 3^2 = 9 cm². Since 9 cm² is larger than the hole's 6 cm² (the hole's side length is sqrt(6) ≈ 2.45 cm, which is less than 3 cm), the block will not fit.